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100210230232100 = 225221138811223731
BaseRepresentation
bin10110110010010000000011…
…001011010000010000100100
3111010211000010020120211222022
4112302100003023100100210
5101113321022414411400
6553043535542122312
730051643631501642
oct2662200313202044
9433730106524868
10100210230232100
1129a25a1354414a
12b2a54b7420398
1343bba26a633a1
141aa62b5868192
15b8ba70e2db85
hex5b24032d0424

100210230232100 has 72 divisors (see below), whose sum is σ = 218543272814496. Its totient is φ = 39883808160000.

The previous prime is 100210230232087. The next prime is 100210230232103. The reversal of 100210230232100 is 1232032012001.

It is not an unprimeable number, because it can be changed into a prime (100210230232103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81277235 + ... + 82500965.

Almost surely, 2100210230232100 is an apocalyptic number.

100210230232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100210230232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109271636407248).

100210230232100 is an abundant number, since it is smaller than the sum of its proper divisors (118333042582396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100210230232100 is a wasteful number, since it uses less digits than its factorization.

100210230232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227837 (or 1227830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100210230232100 its reverse (1232032012001), we get a palindrome (101442262244101).

The spelling of 100210230232100 in words is "one hundred trillion, two hundred ten billion, two hundred thirty million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 3881 4220 5275 7762 10550 15524 19405 21100 38810 77620 97025 194050 388100 818891 1223731 1637782 2447462 3275564 4094455 4894924 6118655 8188910 12237310 16377820 20472275 24474620 30593275 40944550 61186550 81889100 122373100 258207241 516414482 1032828964 1291036205 2582072410 4749300011 5164144820 6455181025 9498600022 12910362050 18997200044 23746500055 25820724100 47493000110 94986000220 118732500275 237465000550 474930001100 1002102302321 2004204604642 4008409209284 5010511511605 10021023023210 20042046046420 25052557558025 50105115116050 100210230232100